Algebra and galois theories
Material type:
TextPublication details: Cham : Springer, 2020 Description: xxiii, 462pISBN: 9783030327989Subject(s): Algebra | Galois theory | Homotopy theory | Coverings, fundamental group (mappings)DDC classification: 512.623.3 Online resources: Table of contents | Reviews Summary: Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings.
| Item type | Current library | Call number | Status | Date due | Barcode |
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NISER LIBRARY | 512.623.3 DOU-A (Browse shelf(Opens below)) | Available | 25346 |
Includes bibliographical references and index.
Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings.
This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.
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